Now I have noted that the members of Cryasse in Hugtto! Pretty Cure are themed after various historical eras, and I notice that Lulu says they hail from a distant future. But we have an 80s pop star and a Victorian toff, among others, in their ranks...
THE CRYASSE LOGO
So my theory is that the leader of Cryasse recruited the cadres, travelling back in time, from their respective historical epochs (Lulu having been created in the days of Cryasse itself as an intelligence fembot):
Listol: The Hardest One to Pin Down (Eighteenth-Century Illuminatus?)